In April 2025
Search & Filtering
The value of serum sodium in healthy adults approximately follows a normal distribution with a mean of 141meq/l and standard deviation of 3meq/l
(a) What is the probability that a normal healthy adult will have a serum sodium value above 147meq/l ( 5 marks)
(b) What is the probability that a normal healthy adult will have a serum sodium value below 130 meq/l ( 5 marks)
(c) What is the probability that a normal healthy adult will have a serum sodium value between 132 and 150meq/l (5 marks)
In an obstetric hospital 17.8% of 320 women were delivered by forceps in 1980. What is the standard error of this percentage? In another hospital in the same region 22% of 185 women were delivered by forceps.
(a) What is the standard error of the difference between the percentage at this hospital and the first one? ( 8 marks)
(b) What is the 95% confidence interval of the differences between those two percentages?
(4 marks)
(c) Was the difference in proportions statistically significant? ( 3 marks)
A pub Uses a periodic review system where it checks the liquor stock every Tuesday and place an order which arrives on Thursday the pub has observed the demand for beer averages 7 units per day with a standard deviation of two units in any given week they should like to be 90% sure they don't run out of peer before the order arrives on Tuesday if they have 10 units on b and hand how many units should they order
A.56.84 units
B.59.00 units
C.41.70 units
D.52.60 units
Given a die, it has 6 faces in which each face has either dot/s of ๐ฅ=1,2,3,4,5 ๐๐๐ 6. Given it as the population, consider sample of size ๐=3. Find the population mean, population variance, population standard deviation, the mean, variance and standard deviation of the sampling distribution of the sample mean and illustrate its probability histogram of the sampling distribution of the sample means
Given a die, it has 6 faces in which each face has either dot/s of ๐ฅ=1,2,3,4,5 ๐๐๐ 6. Given it as the population, consider sample of size ๐=3. Find the population mean, population variance, population standard deviation, the mean, variance and standard deviation of the sampling distribution of the sample mean and illustrate its probability histogram of the sampling distribution of the sample means
Identify the region/area under the normal curve corresponding to each of the following.
1.Between Z=0 and z=1.36
2.between z=0 and z=1.87
3.between z=1.36 and z= 2.5
4.between -1.36 and z= -1.87
5. Between z=-1.36 and z=2.5
6.between z=1.36 and z=-2.5
A sample of 250 workers aged 16 and older produced an average length of time with the current employer of 4.4 years with standard deviation of 3.8 years. Construct a 99.9% confidence interval for mean job tenure of all workers aged 16 or olderโ
The average value of the particulate matter (PM10) in the air of Kuala Lumpur is 77 (ฮผg/m3).. The average value of the particulate matter (PM10) is 65 (ฮผg/m3) as calculated from the sample data. The standard deviation of the population is 44 (ฮผg/m3). Use a significance level of ฮฑ=0.05 to carry out the analysis.
The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team.
a) Construct a well-labeled tree diagram to represent all the possible outcomes.
b) What is the probability that Roy:
i) attends practice and is chosen?
ii) does not attend practice and is not chosen?
iii) does not attend practice?
iv) is chosen?
What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?
